%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:50:58 AM UTC 2026
% Result : Unsatisfiable 6.26s 1.87s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_1) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_3) ).
fof(f5,axiom,
! [X0] : is_a_theorem(implies(falsehood,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_4) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_5) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f3]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f2,f1]) ).
fof(f22,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(falsehood,X1))),
inference(resolution,[],[f21,f5]) ).
fof(f23,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f21,f3]) ).
fof(f24,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f21,f8]) ).
fof(f25,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f21,f4]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f21,f2]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f24,f1]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f37,f4]) ).
fof(f68,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[],[f59,f23]) ).
fof(f69,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[],[f59,f22]) ).
fof(f77,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f68,f21]) ).
fof(f83,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[],[f69,f21]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f77,f1]) ).
fof(f199,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f25,f117]) ).
fof(f205,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f25,f1]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(resolution,[],[f205,f59]) ).
fof(f260,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f205,f1]) ).
fof(f550,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X0),X0),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f260,f199]) ).
fof(f769,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(falsehood,X1),X2),X2))),
inference(resolution,[],[f254,f83]) ).
fof(f822,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X0),X1),X1),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f769,f260]) ).
fof(f2222,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,falsehood),implies(X0,X1))),
inference(resolution,[],[f822,f26]) ).
fof(f2294,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,falsehood),X2))),
inference(resolution,[],[f2222,f21]) ).
fof(f5499,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),falsehood),X0)),
inference(resolution,[],[f2294,f550]) ).
fof(f5542,plain,
$false,
inference(resolution,[],[f5499,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:18:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.26/1.87 % (4122383)Input is clausal, will run a generic CNF schedule.
% 6.26/1.87 % (4122392)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2599935121:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.26/1.87 % (4122394)dis-21_1_sil=8000:lcm=predicate:random_seed=1955826138:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.26/1.87 % (4122391)lrs+10_1_sil=8000:sp=occurrence:random_seed=383911546:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.26/1.87 % (4122388)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1761231062:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.26/1.87 % (4122390)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1658626165:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.26/1.87 % (4122389)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2305691808:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.26/1.87 % (4122393)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=252414168:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.26/1.87 % (4122392)Instruction limit reached!
% 6.26/1.87 % (4122392)------------------------------
% 6.26/1.87 % (4122392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122392)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122392)Termination reason: Instruction limit
% 6.26/1.87 % (4122392)Termination phase: Saturation
% 6.26/1.87 % (4122392)Time elapsed: 0.038 s
% 6.26/1.87 % (4122392)Peak memory usage: 88 MB
% 6.26/1.87 % (4122392)Instructions burned: 117 (million)
% 6.26/1.87 % (4122391)Instruction limit reached!
% 6.26/1.87 % (4122391)------------------------------
% 6.26/1.87 % (4122391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122391)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122391)Termination reason: Instruction limit
% 6.26/1.87 % (4122391)Termination phase: Saturation
% 6.26/1.87 % (4122391)Time elapsed: 0.072 s
% 6.26/1.87 % (4122391)Peak memory usage: 88 MB
% 6.26/1.87 % (4122391)Instructions burned: 108 (million)
% 6.26/1.87 % (4122394)Instruction limit reached!
% 6.26/1.87 % (4122394)------------------------------
% 6.26/1.87 % (4122394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122394)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122394)Termination reason: Instruction limit
% 6.26/1.87 % (4122394)Termination phase: Saturation
% 6.26/1.87 % (4122394)Time elapsed: 0.076 s
% 6.26/1.87 % (4122394)Peak memory usage: 88 MB
% 6.26/1.87 % (4122394)Instructions burned: 118 (million)
% 6.26/1.87 % (4122393)Instruction limit reached!
% 6.26/1.87 % (4122393)------------------------------
% 6.26/1.87 % (4122393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122393)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122393)Termination reason: Instruction limit
% 6.26/1.87 % (4122393)Termination phase: Saturation
% 6.26/1.87 % (4122393)Time elapsed: 0.120 s
% 6.26/1.87 % (4122393)Peak memory usage: 89 MB
% 6.26/1.87 % (4122393)Instructions burned: 180 (million)
% 6.26/1.87 % (4122402)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2805362241:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.26/1.87 % (4122402)Refutation not found, incomplete strategy
% 6.26/1.87 % (4122402)------------------------------
% 6.26/1.87 % (4122402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122402)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122402)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.87 % (4122402)Time elapsed: 0.001 s
% 6.26/1.87 % (4122402)Peak memory usage: 87 MB
% 6.26/1.87 % (4122403)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2302645199:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.26/1.87 % (4122404)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=656410543:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.26/1.87 % (4122404)Refutation not found, incomplete strategy
% 6.26/1.87 % (4122404)------------------------------
% 6.26/1.87 % (4122404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122404)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122404)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.87 % (4122404)Time elapsed: 0.001 s
% 6.26/1.87 % (4122404)Peak memory usage: 87 MB
% 6.26/1.87 % (4122402)------------------------------
% 6.26/1.87 % (4122402)------------------------------
% 6.26/1.87 % (4122405)lrs+10_64_to=lpo:sil=8000:random_seed=3134421492:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.26/1.87 % (4122403)Instruction limit reached!
% 6.26/1.87 % (4122403)------------------------------
% 6.26/1.87 % (4122403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122403)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122403)Termination reason: Instruction limit
% 6.26/1.87 % (4122403)Termination phase: Saturation
% 6.26/1.87 % (4122403)Time elapsed: 0.111 s
% 6.26/1.87 % (4122403)Peak memory usage: 89 MB
% 6.26/1.87 % (4122403)Instructions burned: 190 (million)
% 6.26/1.87 % (4122405)First to succeed.
% 6.26/1.87 % (4122405)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4122383"
% 6.26/1.87 % (4122410)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1090970623:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.26/1.87 % (4122404)------------------------------
% 6.26/1.87 % (4122404)------------------------------
% 6.26/1.87 % (4122410)Instruction limit reached!
% 6.26/1.87 % (4122410)------------------------------
% 6.26/1.87 % (4122410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122410)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122410)Termination reason: Instruction limit
% 6.26/1.87 % (4122410)Termination phase: Saturation
% 6.26/1.87 % (4122410)Time elapsed: 0.073 s
% 6.26/1.87 % (4122410)Peak memory usage: 89 MB
% 6.26/1.87 % (4122410)Instructions burned: 195 (million)
% 6.26/1.87 % (4122411)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3889622461:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.26/1.87 % (4122411)Also succeeded, but the first one will report.
% 6.26/1.87 % (4122413)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=761944897:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.26/1.87 % (4122405)Refutation found. Thanks to Tanya!
% 6.26/1.87 % SZS status Unsatisfiable for theBenchmark
% 6.26/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/1.87 % (4122405)------------------------------
% 6.26/1.87 % (4122405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/1.87 % (4122405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.87 % (4122405)CaDiCaL version: 2.1.3
% 6.26/1.87 % (4122405)Termination reason: Refutation
% 6.26/1.87 % (4122405)Time elapsed: 0.075 s
% 6.26/1.87 % (4122405)Peak memory usage: 88 MB
% 6.26/1.87 % (4122405)Instructions burned: 119 (million)
% 6.26/1.87 % (4122405)------------------------------
% 6.26/1.87 % (4122405)------------------------------
% 6.26/1.87 % (4122383)Success in time 0.8 s
% 6.26/1.87 % Vampire exiting
%------------------------------------------------------------------------------